Publications
Master Thesis
Numerische Lösung von Poisson-Problemen auf Mannigfaltigkeiten mittels RBF-FD in schwacher Form
83 pp. (2024) [10.34734/FZJ-2024-05604] = Masterarbeit, FH Aachen - University of Applied Sciences, 2024
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Journal Article
Inverse parameter and shape problem for an isotropic scatterer with two conductivity coefficients
Analysis and Mathematical Physics 14(4), 90 (2024) [10.1007/s13324-024-00950-x]
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On trajectories of complex-valued interior transmission eigenvalues
Inverse problems and imaging 18(2), 480 - 516 (2024) [10.3934/ipi.2023041]
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An Approach to Colour Morphological Supremum Formation Using the LogSumExp Approximation
Discrete Geometry and Mathematical Morphology
IAPR Third International Conference on Discrete Geometry and Mathematical Morphology, DGMM 2024, FlorenceFlorence, Italy, 15 Apr 2024 - 18 Apr 2024
Cham : Springer, Lecture Notes in Computer Science 14605, 325-337 (2024) [10.1007/978-3-031-57793-2_25]
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Direct sampling method via Landweber iteration for an absorbing scatterer with a conductive boundary
Inverse problems and imaging 18(3), 708-729 (2024) [10.3934/ipi.2023051]
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A spectral Galerkin exponential Euler time-stepping scheme for parabolic SPDEs on two-dimensional domains with a $\mathcal{C}^2$ boundary
Discrete and continuous dynamical systems / Series B 29(4), 1624-1651 (2024) [10.3934/dcdsb.2023148]
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Journal Article
Detecting and approximating decision boundaries in low-dimensional spaces
Numerical algorithms 95, 1503-1537 (2024) [10.1007/s11075-023-01618-6]
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Journal Article
Analysis of the transmission eigenvalue problem with two conductivity parameters
Applicable analysis 103(1), 211-239 (2024) [10.1080/00036811.2023.2181167]
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Towards Topological Analysis of Non-symmetric Tensor Fields via Complexification
Discrete Geometry and Mathematical Morphology, DGMM 2022, StrasbourgStrasbourg, France, 24 Oct 2022 - 27 Oct 2022
Cham : Springer International Publishing, Lecture Notes in Computer Science 13493, 48 - 59 (2022) [10.1007/978-3-031-19897-7_5]
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Computing Elastic Interior Transmission Eigenvalues
Integral Methods in Science and Engineering
Cham : Springer International Publishing 139-155 (2022) [10.1007/978-3-031-07171-3_10]
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Journal Article
Analysis and computation of the transmission eigenvalues with a conductive boundary condition
Applicable analysis 101(6), 1880-1895 (2022) [10.1080/00036811.2020.1789598]
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Journal Article
The hot spots conjecture can be false: Some numerical examples
Advances in computational mathematics 47(6), 85 (2021) [10.1007/s10444-021-09911-5]
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Journal Article
Elastic transmission eigenvalues and their computation via the method of fundamental solutions
Applicable analysis 100(16), 3445-3462 (2021) [10.1080/00036811.2020.1721473]
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Journal Article
Editorial — Special Issue: ISMM 2019
Mathematical morphology 4(1), 159-161 (2020) [10.1515/mathm-2020-0200] special issue: "ISMM 2019"
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Journal Article
Solving nonlinear parabolic PDEs in several dimensions: Parallelized ESERK codes
Journal of computational physics 423, 109771 (2020) [10.1016/j.jcp.2020.109771]
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Contribution to a conference proceedings/Contribution to a book
Numerical Calculation of Interior Transmission Eigenvalues with Mixed Boundary Conditions
Computational and Analytic Methods in Science and Engineering
Computational and Mathematical Methods in Science and Engineering, CMMSE2019, CadizCadiz, Spain, 30 Jun 2019 - 6 Jul 2019
Basel : Birkhäuser 173-193 (2020)
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New Numerical Results for the Optimization of Neumann Eigenvalues
Computational and Analytic Methods in Science and Engineering
Computational and Mathematical Methods in Science and Engineering, CMMSE2019, CadizCadiz, Spain, 30 Jun 2019 - 6 Jul 2019
Basel : Birkhäuser 1-19 (2020)
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Journal Article
A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting
Journal of computational physics 415, 109490 (2020) [10.1016/j.jcp.2020.109490]
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Journal Article
Implicit Monotone Difference Methods for Scalar Conservation Laws with Source Terms
Acta mathematica Vietnamica 45(3), 709–738 (2020) [10.1007/s40306-019-00354-1]
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Journal Article
The inverse scattering problem for a conductive boundary condition and transmission eigenvalues
Applicable analysis 99(3), 508-529 (2020) [10.1080/00036811.2018.1504028]
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Extrapolated stabilized explicit Runge-Kutta methods
Modelling for Engineering and Human Behaviour 2018
Mathematical Modelling in Engineering & Human Behaviour 2018, MME&HB2018, ValenciaValencia, Spain, 16 Jul 2018 - 18 Jul 2018
Valencia : Instituto Universitario de Matemática Multidisciplinar 325-331 (2019)
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Contribution to a book
The Method of Fundamental Solutions for Computing Interior Transmission Eigenvalues of Inhomogeneous Media
Integral Methods in Science and Engineering
Cham : Springer International Publishing 353-365 (2019) [10.1007/978-3-030-16077-7_28]
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Contribution to a book
Shape Optimization for Interior Neumann and Transmission Eigenvalues
Integral Methods in Science and Engineering
Cham : Springer International Publishing 185-196 (2019) [10.1007/978-3-030-16077-7_15]
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Contribution to a conference proceedings/Contribution to a book
A Unified Approach to the Processing of Hyperspectral Images
Mathematical Morphology and Its Applications to Signal and Image Processing
14th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, ISMM 2019, SaarbrückenSaarbrücken, Germany, 8 Jul 2019 - 10 Jul 2019
Cham : Springer International Publishing, Lecture Notes in Computer Science 11564, 202 - 214 (2019) [10.1007/978-3-030-20867-7_16]
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Book/Proceedings
Mathematical Morphology and Its Applications to Signal and Image Processing
14th International Symposium on Mathematical Morphology, ISMM 2019, SaarbrückenSaarbrücken, Germany, 8 Jul 2019 - 10 Jul 2019
Heidelberg : Springer, Lecture Notes in Computer Science 11564, (2019) [10.1007/978-3-030-20867-7]
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Journal Article
Theoretical foundation of the weighted Laplace inpainting problem
Applications of mathematics 64(3), 281-300 (2019) [10.21136/AM.2019.0206-18]
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Journal Article
Analysis of new direct sampling indicators for far-field measurements
Inverse problems 35(5), 054002 (2019) [10.1088/1361-6420/ab08be]
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Journal Article
ESERK5: A fifth-order extrapolated stabilized explicit Runge–Kutta method
Journal of computational and applied mathematics 356, 22-36 (2019) [10.1016/j.cam.2019.01.040]
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Journal Article
Computing interior transmission eigenvalues for homogeneous and anisotropic media
Inverse problems 34(10), 105007 (2018) [10.1088/1361-6420/aad7c4]
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Journal Article
Identification of spatial pattern of photosynthesis hotspots in moss- and lichen-dominated biological soil crusts by combining chlorophyll fluorescence imaging and multispectral BNDVI images
Pedobiologia 68, 1 - 11 (2018) [10.1016/j.pedobi.2018.04.001]
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Journal Article
Anomalous diffusion, dilation, and erosion in image processing
International journal of computer mathematics 95(6-7), 1375 - 1393 (2018) [10.1080/00207160.2017.1423292] special issue: "Advances on Computational Fractional Partial Differential Equations"
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Journal Article
The method of fundamental solutions for computing acoustic interior transmission eigenvalues
Inverse problems 34(3), 035007 (2018) [10.1088/1361-6420/aaa72d]
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Contribution to a book
Towards Processing Fields of General Real-Valued Square Matrices
Modeling, Analysis, and Visualization of Anisotropy
Cham : Springer International Publishing, Mathematics and Visualization 115 - 144 (2017) [10.1007/978-3-319-61358-1_6]
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Contribution to a book
Improvement of the Inside-Outside Duality Method
Integral Methods in Science and Engineering
Cham : Springer International Publishing 1, 149-159 (2017) [10.1007/978-3-319-59384-5_13]
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Contribution to a book
Interior Transmission Eigenvalues for Anisotropic Media
Integral Methods in Science and Engineering
Cham : Springer International Publishing 1, 139-147 (2017) [10.1007/978-3-319-59384-5_12]
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Contribution to a conference proceedings/Contribution to a book
A Unified Approach to PDE-Driven Morphology for Fields of Orthogonal and Generalized Doubly-Stochastic Matrices
Mathematical Morphology and Its Applications to Signal and Image Processing / Angulo, Jesús (Editor) ; Cham : Springer International Publishing, 2017, Chapter 23 ; ISSN: 0302-9743=1611-3349 ; ISBN: 978-3-319-57239-0=978-3-319-57240-6
13th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, ISMM 2017, FontainebleauFontainebleau, France, 15 May 2017 - 17 May 2017
Cham : Springer International Publishing, Lecture Notes in Computer Science 10225, 284 - 295 (2017) [10.1007/978-3-319-57240-6_23]
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Contribution to a conference proceedings/Contribution to a book
Matrix-Valued Levelings for Colour Images
Mathematical Morphology and Its Applications to Signal and Image Processing / Angulo, Jesús (Editor) ; Cham : Springer International Publishing, 2017, Chapter 24 ; ISSN: 0302-9743=1611-3349 ; ISBN: 978-3-319-57239-0=978-3-319-57240-6
13th International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, ISMM 2017, FontainebleauFontainebleau, France, 15 May 2017 - 17 May 2017
Cham : Springer International Publishing, Lecture Notes in Computer Science 10225, 296 - 308 (2017) [10.1007/978-3-319-57240-6_24]
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Contribution to a conference proceedings/Contribution to a book
Analytic Existence and Uniqueness Results for PDE-Based Image Reconstruction with the Laplacian
Scale Space and Variational Methods in Computer Vision / Lauze, François (Editor) ; Cham : Springer International Publishing, 2017, Chapter 6 ; ISSN: 0302-9743=1611-3349 ; ISBN: 978-3-319-58770-7=978-3-319-58771-4
6th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2017, KoldingKolding, Dänemark, 4 Jun 2017 - 8 Jun 2017
Cham : Springer International Publishing, Lecture Notes in Computer Science 10302, 66 - 79 (2017) [10.1007/978-3-319-58771-4_6]
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Journal Article
The interior transmission eigenvalue problem for an inhomogeneous media with a conductive boundary
Applicable analysis 96(1), 2 - 22 (2017) [10.1080/00036811.2016.1204440]
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Journal Article
Modeling Severity and Measuring Tail Risk of Norwegian Fire Claims
North American actuarial journal 20(1), 1 - 16 (2016) [10.1080/10920277.2015.1062784]
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Journal Article
Quantile Filtering of Colour Images via Symmetric Matrices
Mathematical morphology 1(1), 136-174 (2016) [10.1515/mathm-2016-0008]
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Journal Article
Numerical computations of interior transmission eigenvalues for scattering objects with cavities
Inverse problems 32(4), 045001 - (2016) [10.1088/0266-5611/32/4/045001]
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Journal Article
Sampling method based projection approach for the reconstruction of 3D acoustically penetrable scatterers
Linear algebra and its applications 495, 289 - 323 (2016) [10.1016/j.laa.2015.12.020]
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Contribution to a conference proceedings
A numerical method to compute electromagnetic interior transmission eigenvalues
The 12th international conference on mathematical and numerical aspects of wave propagation, Waves 2015, KarlsruheKarlsruhe, Germany, 20 Jul 2015 - 24 Jul 2015
276-277 (2015)
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Contribution to a book
PDE-Based Color Morphology Using Matrix Fields
Scale Space and Variational Methods in Computer Vision / Aujol, Jean-François (Editor) ; Cham : Springer International Publishing, 2015, Chapter 37 ; ISSN: 0302-9743=1611-3349 ; ISBN: 978-3-319-18460-9=978-3-319-18461-6 ; doi:10.1007/978-3-319-18461-6
Cham : Springer International Publishing, Lecture Notes in Computer Science 9087, 461 - 473 (2015) [10.1007/978-3-319-18461-6_37]
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Contribution to a book
Non-adaptive and Amoeba Quantile Filters for Colour Images
Mathematical Morphology and Its Applications to Signal and Image Processing / Benediktsson, Jón Atli (Editor) ; Cham : Springer International Publishing, 2015, Chapter 34 ; ISSN: 0302-9743=1611-3349 ; ISBN: 978-3-319-18719-8=978-3-319-18720-4 ; doi:10.1007/978-3-319-18720-4
Cham : Springer International Publishing, Lecture Notes in Computer Science 9082, 398 - 409 (2015) [10.1007/978-3-319-18720-4_34]
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Contribution to a book
Elementary Morphology for SO(2)- and SO(3)-Orientation Fields
Mathematical Morphology and Its Applications to Signal and Image Processing / Benediktsson, Jón Atli (Editor) ; Cham : Springer International Publishing, 2015, Chapter 39 ; ISSN: 0302-9743=1611-3349 ; ISBN: 978-3-319-18719-8=978-3-319-18720-4 ; doi:10.1007/978-3-319-18720-4
Cham : Springer International Publishing, Lecture Notes in Computer Science 9082, 458 - 469 (2015) [10.1007/978-3-319-18720-4_39]
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Contribution to a book
Adaptive Filters for Color Images: Median Filtering and Its Extensions
Computational Color Imaging / Trémeau, Alain (Editor) ; Cham : Springer International Publishing, 2015, Chapter 15 ; ISSN: 0302-9743=1611-3349 ; ISBN: 978-3-319-15978-2=978-3-319-15979-9 ; doi:10.1007/978-3-319-15979-9
Cham : Springer International Publishing, Lecture Notes in Computer Science 9016, 149 - 158 (2015) [10.1007/978-3-319-15979-9_15]
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Contribution to a book
Processing Multispectral Images via Mathematical Morphology
Visualization and Processing of Higher Order Descriptors for Multi-Valued Data / Hotz, Ingrid (Editor) ; Cham : Springer International Publishing, 2015, Chapter 7 ; ISSN: 1612-3786=2197-666X ; ISBN: 978-3-319-15089-5=978-3-319-15090-1 ; doi:10.1007/978-3-319-15090-1
Cham : Springer International Publishing, Mathematics and Visualization 129 - 148 (2015) [10.1007/978-3-319-15090-1_7]
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Contribution to a conference proceedings/Contribution to a book
Computer-aided diagnosis of breast MRI with high accuracy optical flow estimation
Proceedings of SPIE 9496, Independent Component Analyses, Compressive Sampling, Large Data Analyses (LDA), Neural Networks, Biosystems, and Nanoengineering XIII
Seminar, BaltimoreBaltimore, Maryland,
[10.1117/12.2181815]
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Contribution to a conference proceedings/Contribution to a book
Robuste und strukturerhaltende Bildentrauschung via Medianfilterung und Bildsegmentierung
Bornimer Agrartechnische Berichte
88, 92-100 (2015)
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Habil / Postdoctoral Thesis (Non-german Habil)
Numerical methods for acoustic and electromagnetic scattering: Transmission boundary-value problems, interior transmission eigenvalues, and the factorization method
165 p. (2015) = Cottbus - Senftenberg, Habil., 2015
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Contribution to a book
Order Based Morphology for Color Images via Matrix Fields
Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data / Westin, Carl-Fredrik (Editor) ; Berlin, Heidelberg : Springer Berlin Heidelberg, 2014, Chapter 4 ; ISSN: 1612-3786=2197-666X ; ISBN: 978-3-642-54300-5=978-3-642-54301-2 ; doi:10.1007/978-3-642-54301-2
Berlin, Heidelberg : Springer Berlin Heidelberg, Mathematics and Visualization 75 - 95 (2014) [10.1007/978-3-642-54301-2_4]
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Journal Article
Authors’ Reply to ‘Letter to the Editor regarding folded models and the paper by Brazauskas and Kleefeld (2011)’
Scandinavian actuarial journal 2014(8), 753 - 757 (2014) [10.1080/03461238.2013.798070]
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Journal Article
An approach to color-morphology based on Einstein addition and Loewner order
Pattern recognition letters 47, 29 - 39 (2014) [10.1016/j.patrec.2014.01.018]
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Contribution to a book
Morphology for Color Images via Loewner Order for Matrix Fields
Mathematical Morphology and Its Applications to Signal and Image Processing / Hendriks, Cris L. Luengo (Editor) ; Berlin, Heidelberg : Springer Berlin Heidelberg, 2013, Chapter 21 ; ISSN: 0302-9743=1611-3349 ; ISBN: 978-3-642-38293-2=978-3-642-38294-9 ; doi:10.1007/978-3-642-38294-9
Berlin, Heidelberg : Springer Berlin Heidelberg, Lecture Notes in Computer Science 7883, 243 - 254 (2013) [10.1007/978-3-642-38294-9_21]
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Contribution to a conference proceedings/Contribution to a book
Generalised Perspective Shape from Shading with Oren-Nayar Reflectance
Procedings of the British Machine Vision Conference 2013 : [Proceedings] - British Machine Vision Association, 2013. - ISBN 1-901725-49-9 - doi:10.5244/C.27.42
British Machine Vision Conference 2013, BristolBristol,
British Machine Vision Association 42.1-42.11 (2013) [10.5244/C.27.42]
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Journal Article
A Global Galerkin Method for Solving the Exterior Neumann Problem for the Helmholtz Equation Using Panich's Integral Equation Approach
SIAM journal on scientific computing 35(3), A1709 - A1735 (2013) [10.1137/120873066]
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Journal Article
A numerical method to compute interior transmission eigenvalues
Inverse problems 29(10), 104012 - (2013) [10.1088/0266-5611/29/10/104012]
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Journal Article
The factorization method for the acoustic transmission problem
Inverse problems 29(11), 115015 - (2013) [10.1088/0266-5611/29/11/115015]
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Journal Article
Boundary element collocation method for solving the exterior neumann problem for Helmholtz's equation in three dimensions
Electronic transactions on numerical analysis 39, 113-143 (2012)
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Journal Article
The Transmission Problem for the Helmholtz Equation in R³
Computational methods in applied mathematics 12(3), 330-350 (2012) [10.2478/cmam-2012-0008]
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Journal Article
The factorization method for a conductive boundary condition
Journal of integral equations and applications 24(4), 575 - 601 (2012) [10.1216/JIE-2012-24-4-575]
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Journal Article
A statistical application of the quantile mechanics approach: MTM estimators for the parameters of t and gamma distributions
European journal of applied mathematics 23(05), 593 - 610 (2012) [10.1017/S0956792512000137]
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Journal Article
The exterior problem for the Helmholtz equation with mixed boundary conditions in three dimensions
International journal of computer mathematics 89(17), 2392 - 2409 (2012) [10.1080/00207160.2012.709932]
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Journal Article
A modified boundary integral equation for solving the exterior Robin problem for the Helmholtz equation in three dimensions
Applied mathematics and computation 219(4), 2114 - 2123 (2012) [10.1016/j.amc.2012.08.055]
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Journal Article
The nonlinear Landweber method applied to an inverse scattering problem for sound-soft obstacles in 3D
Computer physics communications 182(12), 2550 - 2560 (2011) [10.1016/j.cpc.2011.07.023]
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Journal Article
The Levenberg–Marquardt method applied to a parameter estimation problem arising from electrical resistivity tomography
Applied mathematics and computation 217(9), 4490 - 4501 (2011) [10.1016/j.amc.2010.10.052]
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Journal Article
Folded and log-folded- t distributions as models for insurance loss data
Scandinavian actuarial journal 2011(1), 59 - 74 (2011) [10.1080/03461230903424199]
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Journal Article
Numerical results for linear Fredholm integral equations of the first kind over surfaces in three dimensions
International journal of computer mathematics 88(13), 2728 - 2742 (2011) [10.1080/00207160.2011.554543]
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Dissertation / PhD Thesis
Direct and inverse acoustic scattering for three-dimensional surfaces
181 p. (2009) = Milwaukee - Wisconsin, Diss., 2009
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Journal Article
Robust and efficient fitting of the generalized Pareto distribution with actuarial applications in view
Insurance 45(3), 424 - 435 (2009) [10.1016/j.insmatheco.2009.09.002]
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Master Thesis
Numerical results of linear Fredholm integral equations of the first kind over surfaces
69 p. (2007) = Milwaukee - Wisconsin, Masterarbeit, 2007
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Diploma Thesis
Numerische Untersuchungen zur Bestimmung von Bodenstrukturen durch elektrische Widerstandstomographie (ERT)
71 p. (2005) = FH Aachen, Campus Jülich, Diplomarbeit, 2005
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Diploma Thesis
Numerische Untersuchungen zur Bestimmung von Bodenstrukturen durch elektrische Widerstandstomographie
FH Aachen - Abteilung Jülich, Diplomarbeit, 2005
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